1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
|
/* Supplemental information about the floating-point formats.
Copyright (C) 2007, 2009, 2010 Free Software Foundation, Inc.
Written by Bruno Haible <bruno@clisp.org>, 2007.
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2, or (at your option)
any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program; if not, write to the Free Software Foundation,
Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */
#ifndef _FLOATPLUS_H
#define _FLOATPLUS_H
#include <float.h>
#include <limits.h>
/* Number of bits in the mantissa of a floating-point number, including the
"hidden bit". */
#if FLT_RADIX == 2
# define FLT_MANT_BIT FLT_MANT_DIG
# define DBL_MANT_BIT DBL_MANT_DIG
# define LDBL_MANT_BIT LDBL_MANT_DIG
#elif FLT_RADIX == 4
# define FLT_MANT_BIT (FLT_MANT_DIG * 2)
# define DBL_MANT_BIT (DBL_MANT_DIG * 2)
# define LDBL_MANT_BIT (LDBL_MANT_DIG * 2)
#elif FLT_RADIX == 16
# define FLT_MANT_BIT (FLT_MANT_DIG * 4)
# define DBL_MANT_BIT (DBL_MANT_DIG * 4)
# define LDBL_MANT_BIT (LDBL_MANT_DIG * 4)
#endif
/* Bit mask that can be used to mask the exponent, as an unsigned number. */
#define FLT_EXP_MASK ((FLT_MAX_EXP - FLT_MIN_EXP) | 7)
#define DBL_EXP_MASK ((DBL_MAX_EXP - DBL_MIN_EXP) | 7)
#define LDBL_EXP_MASK ((LDBL_MAX_EXP - LDBL_MIN_EXP) | 7)
/* Number of bits used for the exponent of a floating-point number, including
the exponent's sign. */
#define FLT_EXP_BIT \
(FLT_EXP_MASK < 0x100 ? 8 : \
FLT_EXP_MASK < 0x200 ? 9 : \
FLT_EXP_MASK < 0x400 ? 10 : \
FLT_EXP_MASK < 0x800 ? 11 : \
FLT_EXP_MASK < 0x1000 ? 12 : \
FLT_EXP_MASK < 0x2000 ? 13 : \
FLT_EXP_MASK < 0x4000 ? 14 : \
FLT_EXP_MASK < 0x8000 ? 15 : \
FLT_EXP_MASK < 0x10000 ? 16 : \
FLT_EXP_MASK < 0x20000 ? 17 : \
FLT_EXP_MASK < 0x40000 ? 18 : \
FLT_EXP_MASK < 0x80000 ? 19 : \
FLT_EXP_MASK < 0x100000 ? 20 : \
FLT_EXP_MASK < 0x200000 ? 21 : \
FLT_EXP_MASK < 0x400000 ? 22 : \
FLT_EXP_MASK < 0x800000 ? 23 : \
FLT_EXP_MASK < 0x1000000 ? 24 : \
FLT_EXP_MASK < 0x2000000 ? 25 : \
FLT_EXP_MASK < 0x4000000 ? 26 : \
FLT_EXP_MASK < 0x8000000 ? 27 : \
FLT_EXP_MASK < 0x10000000 ? 28 : \
FLT_EXP_MASK < 0x20000000 ? 29 : \
FLT_EXP_MASK < 0x40000000 ? 30 : \
FLT_EXP_MASK <= 0x7fffffff ? 31 : \
32)
#define DBL_EXP_BIT \
(DBL_EXP_MASK < 0x100 ? 8 : \
DBL_EXP_MASK < 0x200 ? 9 : \
DBL_EXP_MASK < 0x400 ? 10 : \
DBL_EXP_MASK < 0x800 ? 11 : \
DBL_EXP_MASK < 0x1000 ? 12 : \
DBL_EXP_MASK < 0x2000 ? 13 : \
DBL_EXP_MASK < 0x4000 ? 14 : \
DBL_EXP_MASK < 0x8000 ? 15 : \
DBL_EXP_MASK < 0x10000 ? 16 : \
DBL_EXP_MASK < 0x20000 ? 17 : \
DBL_EXP_MASK < 0x40000 ? 18 : \
DBL_EXP_MASK < 0x80000 ? 19 : \
DBL_EXP_MASK < 0x100000 ? 20 : \
DBL_EXP_MASK < 0x200000 ? 21 : \
DBL_EXP_MASK < 0x400000 ? 22 : \
DBL_EXP_MASK < 0x800000 ? 23 : \
DBL_EXP_MASK < 0x1000000 ? 24 : \
DBL_EXP_MASK < 0x2000000 ? 25 : \
DBL_EXP_MASK < 0x4000000 ? 26 : \
DBL_EXP_MASK < 0x8000000 ? 27 : \
DBL_EXP_MASK < 0x10000000 ? 28 : \
DBL_EXP_MASK < 0x20000000 ? 29 : \
DBL_EXP_MASK < 0x40000000 ? 30 : \
DBL_EXP_MASK <= 0x7fffffff ? 31 : \
32)
#define LDBL_EXP_BIT \
(LDBL_EXP_MASK < 0x100 ? 8 : \
LDBL_EXP_MASK < 0x200 ? 9 : \
LDBL_EXP_MASK < 0x400 ? 10 : \
LDBL_EXP_MASK < 0x800 ? 11 : \
LDBL_EXP_MASK < 0x1000 ? 12 : \
LDBL_EXP_MASK < 0x2000 ? 13 : \
LDBL_EXP_MASK < 0x4000 ? 14 : \
LDBL_EXP_MASK < 0x8000 ? 15 : \
LDBL_EXP_MASK < 0x10000 ? 16 : \
LDBL_EXP_MASK < 0x20000 ? 17 : \
LDBL_EXP_MASK < 0x40000 ? 18 : \
LDBL_EXP_MASK < 0x80000 ? 19 : \
LDBL_EXP_MASK < 0x100000 ? 20 : \
LDBL_EXP_MASK < 0x200000 ? 21 : \
LDBL_EXP_MASK < 0x400000 ? 22 : \
LDBL_EXP_MASK < 0x800000 ? 23 : \
LDBL_EXP_MASK < 0x1000000 ? 24 : \
LDBL_EXP_MASK < 0x2000000 ? 25 : \
LDBL_EXP_MASK < 0x4000000 ? 26 : \
LDBL_EXP_MASK < 0x8000000 ? 27 : \
LDBL_EXP_MASK < 0x10000000 ? 28 : \
LDBL_EXP_MASK < 0x20000000 ? 29 : \
LDBL_EXP_MASK < 0x40000000 ? 30 : \
LDBL_EXP_MASK <= 0x7fffffff ? 31 : \
32)
/* Number of bits used for a floating-point number: the mantissa (not
counting the "hidden bit", since it may or may not be explicit), the
exponent, and the sign. */
#define FLT_TOTAL_BIT ((FLT_MANT_BIT - 1) + FLT_EXP_BIT + 1)
#define DBL_TOTAL_BIT ((DBL_MANT_BIT - 1) + DBL_EXP_BIT + 1)
#define LDBL_TOTAL_BIT ((LDBL_MANT_BIT - 1) + LDBL_EXP_BIT + 1)
/* Number of bytes used for a floating-point number.
This can be smaller than the 'sizeof'. For example, on i386 systems,
'long double' most often have LDBL_MANT_BIT = 64, LDBL_EXP_BIT = 16, hence
LDBL_TOTAL_BIT = 80 bits, i.e. 10 bytes of consecutive memory, but
sizeof (long double) = 12 or = 16. */
#define SIZEOF_FLT ((FLT_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
#define SIZEOF_DBL ((DBL_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
#define SIZEOF_LDBL ((LDBL_TOTAL_BIT + CHAR_BIT - 1) / CHAR_BIT)
/* Verify that SIZEOF_FLT <= sizeof (float) etc. */
typedef int verify_sizeof_flt[SIZEOF_FLT <= sizeof (float) ? 1 : -1];
typedef int verify_sizeof_dbl[SIZEOF_DBL <= sizeof (double) ? 1 : - 1];
typedef int verify_sizeof_ldbl[SIZEOF_LDBL <= sizeof (long double) ? 1 : - 1];
#endif /* _FLOATPLUS_H */
|
